New trends in general variational inequalities
It is well known that general variational inequalities provide us with a unified, natural, novel
and simple framework to study a wide class of unrelated problems, which arise in pure and …
and simple framework to study a wide class of unrelated problems, which arise in pure and …
Some developments in general variational inequalities
MA Noor - Applied Mathematics and Computation, 2004 - Elsevier
General variational inequalities provide us with a unified, natural, novel and simple
framework to study a wide class of equilibrium problems arising in pure and applied …
framework to study a wide class of equilibrium problems arising in pure and applied …
Modified popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems
This paper proposes two algorithms that are based on a subgradient and an inertial scheme
with the explicit iterative method for solving pseudomonotone equilibrium problems. The …
with the explicit iterative method for solving pseudomonotone equilibrium problems. The …
Solving the variational inequality problem defined on intersection of finite level sets
S He, C Yang - Abstract and applied analysis, 2013 - Wiley Online Library
Consider the variational inequality VI (C, F) of finding a point x*∈ C satisfying the property〈
Fx*, x− x*〉≥ 0, for all x∈ C, where C is the intersection of finite level sets of convex …
Fx*, x− x*〉≥ 0, for all x∈ C, where C is the intersection of finite level sets of convex …
Dual extragradient algorithms extended to equilibrium problems
In this paper we propose two iterative schemes for solving equilibrium problems which are
called dual extragradient algorithms. In contrast with the primal extragradient methods in …
called dual extragradient algorithms. In contrast with the primal extragradient methods in …
A new two-step proximal algorithm of solving the problem of equilibrium programming
SI Lyashko, VV Semenov - Optimization and Its Applications in Control …, 2016 - Springer
We propose a new iterative two-step proximal algorithm for solving the problem of
equilibrium programming in a Hilbert space. This method is a result of extension of LD …
equilibrium programming in a Hilbert space. This method is a result of extension of LD …
Invex equilibrium problems
MA Noor - Journal of Mathematical Analysis and Applications, 2005 - Elsevier
In this paper, we introduce a new class of equilibrium problems, known as invex equilibrium
problems in the setting of invexity. This class of equilibrium problems includes equilibrium …
problems in the setting of invexity. This class of equilibrium problems includes equilibrium …
The inertial sub-gradient extra-gradient method for a class of pseudo-monotone equilibrium problems
In this article, we focus on improving the sub-gradient extra-gradient method to find a
solution to the problems of pseudo-monotone equilibrium in a real Hilbert space. The weak …
solution to the problems of pseudo-monotone equilibrium in a real Hilbert space. The weak …
The extragradient algorithm with inertial effects extended to equilibrium problems
In this paper, two algorithms are proposed for a class of pseudomonotone and strongly
pseudomonotone equilibrium problems. These algorithms can be viewed as a extension of …
pseudomonotone equilibrium problems. These algorithms can be viewed as a extension of …
Auxiliary principle technique for equilibrium problems
MA Noor - Journal of Optimization Theory and Applications, 2004 - Springer
In this paper, we use the auxiliary principle technique to suggest and analyze a number of
iterative methods for solving mixed quasiequilibrium problems. We prove that the …
iterative methods for solving mixed quasiequilibrium problems. We prove that the …